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Irina-Kira [14]
3 years ago
8

Create a linear function that has a rate of change of -3 and a solution at (5,2)

Mathematics
1 answer:
jeyben [28]3 years ago
8 0

Answer:

y = - 3x + 17

Step-by-step explanation:

Note that slope is a measure of the rate of change of a linear function.

Express the function in slope- intercept form

y = mx + c ( m is the slope and c the y- intercept )

here m = - 3, thus

y = - 3x + c ← is the partial equation

To find c substitute (5, 2) into the partial function

2 = - 15 + c ⇒ c = 2 + 15 = 17

y = - 3x + 17 ← is the linear function

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Ruby red paint costs $0.50 per square inch. A ball is painted ruby red and costs $100.00 to paint. What is the diameter of the b
8090 [49]
The diameter can be obtained by the formula A = pi*r^2

First, multiply 0.50 * 100 to obtain the area of the ball, then simplify and solve for the radius. Doubling the radius would yield the diameter. This is shown below:

Area of the ball = 0.50 * 100 = 50 in^2
<span>A = pi*r^2
</span>50 = (3.14)*r^2
r = 3.99 = approx. 4
diameter = 2r
Diameter = 8 inches.

Among the choices, the correct answer is C. 8.0 in. 

6 0
3 years ago
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Trash Cans: Elliot's family has a cylinder shaped trash can. It takes the family a few days to fill the trash can up. Elliot wan
Elza [17]

The volume of cylinder shaped trash can is 4698 cubic inches, if the trash can has a height of 24.90 inches and a diameter of 15.50 inches.

Step-by-step explanation:

The given is,

                  Trash can has a height of 24.90 inches

                  Diameter of 15.50 inches

Step:1

                Formula to calculate the volume of cylinder,

                              Volume, V = \pi r^{2} h.............................(1)

               Where, r - radius of cylinder

                           h - Height of cylinder

               From given,

                          h - 24.90 inches

                          D - 15.50 inches

                Diameter to radius conversion,

                                   Radius, r = \frac{d}{2}

                                                   = \frac{15.50}{2}

                                                r = 7.75 inches

              Equation (1) becomes,

                                                V = \pi (7.75^{2} )(24.90)

                                                    = \pi (60.0625)(24.90)

                                                    =\pi (1495.556)

                                                    =(3.1416) (1495.556)           (∵ \pi = 3.1416 )

                                                    = 4698.42

                                                   ≅ 4698 cubic inches

           Volume of trash can, V = 4698 cubic inches

Result:

             The volume of cylinder shaped trash can is 4698 cubic inches, if the trash can has a height of 24.90 inches and a diameter of 15.50 inches.                                

                                     

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Answer:

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Step-by-step explanation:

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Explanation:

I hope this helped!

<!> Brainliest is appreciated! <!>

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